Pointed and multi-pointed partitions of type $A$ and $B$

Chapoton, F.; Vallette, B.

Geodesic

Parcourir par

Pointed and multi-pointed partitions of type

A

and

B

Chapoton, F. ; Vallette, B.

Journal of Algebraic Combinatorics, Tome 23 (2006) no. 4, pp. 295-316.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Résumé

Summary: The aim of this paper is to define and study pointed and multi-pointed partition posets of type

A

and

B

(in the classification of Coxeter groups). We compute their characteristic polynomials, incidence Hopf algebras and homology groups. As a corollary, we show that some operads are Koszul over

Z

mathbbZ .

Mots-clés : keywords type A, type B, partitions

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Chapoton, F.; Vallette, B. Pointed and multi-pointed partitions of type $A$ and $B$. Journal of Algebraic Combinatorics, Tome 23 (2006) no. 4, pp. 295-316. https://geodesic-test.mathdoc.fr/item/JAC_2006__23_4_a4/